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Finding the Third Proportional to 728,797.50 and 1,504,278

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Solution

The third proportional to 728,797.50 and 1,504,278 is: 3,104,912.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    728,797.50 : 1,504,278 = 1,504,278 : x
  2. Step 2: Convert to fraction form
    728,797.50/1,504,278 = 1,504,278/x
  3. Step 3: Cross multiply
    728,797.50x = 1,504,278 × 1,504,278
  4. Step 4: Simplify right side
    728,797.50x = 2,262,852,301,284
  5. Step 5: Solve for x
    x = 2,262,852,301,284/728,797.50
  6. Step 6: Final answer
    x = 3,104,912.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.